It seems everyone who has replied so far has missed the irony of a poker player becoming a pilot wannabe. Gambling with large sums of money qualifies you very well for flight training. I just hope you do a bit more research this time before switching schools. A set of brand new ATPL manuals shouldn't cost you more than about £700, so the $3500 you paid for the Jeps is about 3X over the odds.
I would say bin the FAA training and switch straight to JAA modular. You can stay right there in Florida and do the hour building on your FAA PPL to get to 150 hours. You need not convert it to a JAA PPL, as any ICAO PPL is acceptable to commence JAA ATPL theory. The Jeppeson manuals can be used as a costly doorstop because any school you enroll with will probably have different books or if they use the Jeps, may not give you much price reduction for having your own set even if they are the correct revision. Flog them on eBay and cut your losses since Bristol GS and Oxford DL don't use them (OAA has their own books, not sure about BGS).
Finishing an FAA CPL/IR makes no sense at all when you can do JAA CPL in the US and do a JAA IR and MCC back in Europe. Getting an FAA CPL/ME/IR then a JAA conversion just sets you back an extra £10-15K and takes an extra 9 months.